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] and€¦ · 3: 4. TI-84 Plus Silver Edibon TEX'S zero mini maxi mum . 50S X K go . costdtl...

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Page 1: ] and€¦ · 3: 4. TI-84 Plus Silver Edibon TEX'S zero mini maxi mum . 50S X K go . costdtl —[sinxl = cosx costdt costdt] — [sin x] cos x

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Page 2: ] and€¦ · 3: 4. TI-84 Plus Silver Edibon TEX'S zero mini maxi mum . 50S X K go . costdtl —[sinxl = cosx costdt costdt] — [sin x] cos x

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] and

Page 3: ] and€¦ · 3: 4. TI-84 Plus Silver Edibon TEX'S zero mini maxi mum . 50S X K go . costdtl —[sinxl = cosx costdt costdt] — [sin x] cos x

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Page 4: ] and€¦ · 3: 4. TI-84 Plus Silver Edibon TEX'S zero mini maxi mum . 50S X K go . costdtl —[sinxl = cosx costdt costdt] — [sin x] cos x

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Page 5: ] and€¦ · 3: 4. TI-84 Plus Silver Edibon TEX'S zero mini maxi mum . 50S X K go . costdtl —[sinxl = cosx costdt costdt] — [sin x] cos x

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Page 6: ] and€¦ · 3: 4. TI-84 Plus Silver Edibon TEX'S zero mini maxi mum . 50S X K go . costdtl —[sinxl = cosx costdt costdt] — [sin x] cos x

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a, b

a, b

Page 7: ] and€¦ · 3: 4. TI-84 Plus Silver Edibon TEX'S zero mini maxi mum . 50S X K go . costdtl —[sinxl = cosx costdt costdt] — [sin x] cos x

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Page 8: ] and€¦ · 3: 4. TI-84 Plus Silver Edibon TEX'S zero mini maxi mum . 50S X K go . costdtl —[sinxl = cosx costdt costdt] — [sin x] cos x

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Page 9: ] and€¦ · 3: 4. TI-84 Plus Silver Edibon TEX'S zero mini maxi mum . 50S X K go . costdtl —[sinxl = cosx costdt costdt] — [sin x] cos x

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Cand nonnegative) used to find

Page 10: ] and€¦ · 3: 4. TI-84 Plus Silver Edibon TEX'S zero mini maxi mum . 50S X K go . costdtl —[sinxl = cosx costdt costdt] — [sin x] cos x

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2

3

Page 11: ] and€¦ · 3: 4. TI-84 Plus Silver Edibon TEX'S zero mini maxi mum . 50S X K go . costdtl —[sinxl = cosx costdt costdt] — [sin x] cos x

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] and

Page 12: ] and€¦ · 3: 4. TI-84 Plus Silver Edibon TEX'S zero mini maxi mum . 50S X K go . costdtl —[sinxl = cosx costdt costdt] — [sin x] cos x

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find the area under the curve.

b.

Page 13: ] and€¦ · 3: 4. TI-84 Plus Silver Edibon TEX'S zero mini maxi mum . 50S X K go . costdtl —[sinxl = cosx costdt costdt] — [sin x] cos x

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accumulation function

Page 14: ] and€¦ · 3: 4. TI-84 Plus Silver Edibon TEX'S zero mini maxi mum . 50S X K go . costdtl —[sinxl = cosx costdt costdt] — [sin x] cos x

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then, for every

Page 15: ] and€¦ · 3: 4. TI-84 Plus Silver Edibon TEX'S zero mini maxi mum . 50S X K go . costdtl —[sinxl = cosx costdt costdt] — [sin x] cos x

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then, for every

F' = f

then, for every

Page 16: ] and€¦ · 3: 4. TI-84 Plus Silver Edibon TEX'S zero mini maxi mum . 50S X K go . costdtl —[sinxl = cosx costdt costdt] — [sin x] cos x

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then, for every

Page 17: ] and€¦ · 3: 4. TI-84 Plus Silver Edibon TEX'S zero mini maxi mum . 50S X K go . costdtl —[sinxl = cosx costdt costdt] — [sin x] cos x

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Page 18: ] and€¦ · 3: 4. TI-84 Plus Silver Edibon TEX'S zero mini maxi mum . 50S X K go . costdtl —[sinxl = cosx costdt costdt] — [sin x] cos x

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Remember the Chain Rule for Derivatives?

is an

u g

Page 19: ] and€¦ · 3: 4. TI-84 Plus Silver Edibon TEX'S zero mini maxi mum . 50S X K go . costdtl —[sinxl = cosx costdt costdt] — [sin x] cos x

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u g

u g

Page 20: ] and€¦ · 3: 4. TI-84 Plus Silver Edibon TEX'S zero mini maxi mum . 50S X K go . costdtl —[sinxl = cosx costdt costdt] — [sin x] cos x

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u g

Page 21: ] and€¦ · 3: 4. TI-84 Plus Silver Edibon TEX'S zero mini maxi mum . 50S X K go . costdtl —[sinxl = cosx costdt costdt] — [sin x] cos x

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u g

Page 22: ] and€¦ · 3: 4. TI-84 Plus Silver Edibon TEX'S zero mini maxi mum . 50S X K go . costdtl —[sinxl = cosx costdt costdt] — [sin x] cos x

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u g

Page 23: ] and€¦ · 3: 4. TI-84 Plus Silver Edibon TEX'S zero mini maxi mum . 50S X K go . costdtl —[sinxl = cosx costdt costdt] — [sin x] cos x

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Equivalently, if

Page 24: ] and€¦ · 3: 4. TI-84 Plus Silver Edibon TEX'S zero mini maxi mum . 50S X K go . costdtl —[sinxl = cosx costdt costdt] — [sin x] cos x

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Page 25: ] and€¦ · 3: 4. TI-84 Plus Silver Edibon TEX'S zero mini maxi mum . 50S X K go . costdtl —[sinxl = cosx costdt costdt] — [sin x] cos x

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Ex: Evaluate

u g

Page 26: ] and€¦ · 3: 4. TI-84 Plus Silver Edibon TEX'S zero mini maxi mum . 50S X K go . costdtl —[sinxl = cosx costdt costdt] — [sin x] cos x

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Page 27: ] and€¦ · 3: 4. TI-84 Plus Silver Edibon TEX'S zero mini maxi mum . 50S X K go . costdtl —[sinxl = cosx costdt costdt] — [sin x] cos x

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a, a

Page 28: ] and€¦ · 3: 4. TI-84 Plus Silver Edibon TEX'S zero mini maxi mum . 50S X K go . costdtl —[sinxl = cosx costdt costdt] — [sin x] cos x

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Page 29: ] and€¦ · 3: 4. TI-84 Plus Silver Edibon TEX'S zero mini maxi mum . 50S X K go . costdtl —[sinxl = cosx costdt costdt] — [sin x] cos x

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